What is the Least Common Multiple of 5398 and 5412?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5398 and 5412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5398 and 5412, than apply into the LCM equation.

GCF(5398,5412) = 2
LCM(5398,5412) = ( 5398 × 5412) / 2
LCM(5398,5412) = 29213976 / 2
LCM(5398,5412) = 14606988

Least Common Multiple (LCM) of 5398 and 5412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5398 and 5412. First we will calculate the prime factors of 5398 and 5412.

Prime Factorization of 5398

Prime Factorization of 5412

Now multiplying the highest exponent prime factors to calculate the LCM of 5398 and 5412.

LCM(5398,5412) = 2² × 2699¹ × 3¹ × 11¹ × 41¹
LCM(5398,5412) = 14606988